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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.18 No.4

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THE AXIOM OF INDEFINITE SURFACES IN SEMI-RIEMANNIAN MANIFOLDS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.4, pp.353-359
https://doi.org/10.7468/jksmeb.2011.18.4.353
Lee, Jae-Won
Jin, Dae-Ho
Lee,, J. , & Jin,, D. (2011). THE AXIOM OF INDEFINITE SURFACES IN SEMI-RIEMANNIAN MANIFOLDS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 18(4), 353-359, https://doi.org/10.7468/jksmeb.2011.18.4.353

Abstract

In this paper, we characterize a semi-Riemannian manifolds satisfies the axiom of indefinite surfaces. We obtain the following result: If a semi-Riemannian manifold satisfies the axiom of indefinite surfaces, then it is a real space form.

keywords
lightlike submanifolds, totally umbilical, indefinite <tex> ${\ell}$</tex>-surfaces

Reference

1.

(2009). . Kodai Math. J., 32, 52-58. 10.2996/kmj/1238594545.

2.

(1971). . J. Differential Geometry, 5, 487-489.

3.

4.

5.

6.

(2003). . Kodai Math. J., 26, 49-68. 10.2996/kmj/1050496648.

7.

(1978). . I. Math. Ann., 232, 267-272. 10.1007/BF01351431.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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